यदि \(x \neq 0\) और \(y \neq 0\), तो (\(x^{-2}y^3\)^{-2}) का सरल रूप कौन सा है?
If \(x \neq 0\) and \(y \neq 0\), which is the simplified form of (\(x^{-2}y^3\)^{-2})?
Explanation opens after your attempt
A. \(,\dfrac{x^4}{y^6},\)
Concept
The outside power (-2) multiplies both exponents, so \(x^4y^{-6}=\dfrac{x^4}{y^6}\). In exams, apply the outside power to every factor inside the bracket.
Why this answer is correct
The correct answer is A. \(,\dfrac{x^4}{y^6},\). The outside power (-2) multiplies both exponents, so \(x^4y^{-6}=\dfrac{x^4}{y^6}\). In exams, apply the outside power to every factor inside the bracket.
Exam Tip
बाहर की घात (-2) दोनों घातांकों से गुणा होगी, इसलिए \(x^4y^{-6}=\dfrac{x^4}{y^6}\) है। परीक्षा में bracket के बाहर की घात को हर factor पर लगाएं।
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